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Finding the Third Proportional to 87,454 and 135,046

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Solution

The third proportional to 87,454 and 135,046 is: 208,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,454 : 135,046 = 135,046 : x
  2. Step 2: Convert to fraction form
    87,454/135,046 = 135,046/x
  3. Step 3: Cross multiply
    87,454x = 135,046 × 135,046
  4. Step 4: Simplify right side
    87,454x = 18,237,422,116
  5. Step 5: Solve for x
    x = 18,237,422,116/87,454
  6. Step 6: Final answer
    x = 208,537.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.